Numbers Between Rational Numbers Discussion
Math 8 Q1 (Pre-Algebra) / The Number System
In your journal, you identified careers that involve irrational numbers. You brainstormed or researched jobs that use pi or Euler’s number to do their work.
Imagine that your friend loves to plan parties, and he wants to be an event planner someday. He does not think he needs to know how to find a number between two rational numbers. He also says he will never use pi again in his life after math class. You think of some of the tasks he might need to do as an event planner:
Decide how many cakes to order for 75 people at a the party
- Calculate the number of servings per cake to ensure there is enough for everyone at the party
- Determine the appropriate cake size and shape to accommodate the number of guests and any special dietary needs (e.g. gluten-free, vegan, etc.)
- Estimate the cost of the cakes based on the number of servings and the bakery's pricing per slice or cake
- Consider the aesthetic and design of the cakes to fit the theme and preferences of the party
- Coordinate with the bakery to schedule the cake delivery or pick-up time
- Communicate any special requests or customization details to the bakery, such as specific flavors, decorations, or personalized messages on the cakes.
tell me how many cakes
To determine how many cakes to order for 75 people at the party, you will need to consider the serving size per cake. This will depend on the desired portion size per person and the type of cake being served.
For example, if each person is expected to receive one slice of cake, and a standard cake typically has around 8-12 servings, you would divide 75 by the number of servings per cake to determine the number of cakes needed.
Let's say you choose a cake with 10 servings per cake.
Number of cakes needed = Number of people / Number of servings per cake
Number of cakes needed = 75 / 10
Number of cakes needed = 7.5
Since you cannot have a fraction of a cake, you would need to round up to the nearest whole number. Thus, your friend would need to order 8 cakes to ensure there is enough for everyone at the party.
As an event planner, your friend will need to consider several factors when deciding how many cakes to order for 75 people at a party. One of the factors to consider is the size of each cake.
To determine the number of cakes needed, your friend can follow these steps:
Step 1: Determine the serving size per person:
Your friend needs to decide how big each serving should be. For example, if they decide that each person should have a slice of cake that is 2 inches by 2 inches, they can calculate the area of each slice, which would be 4 square inches.
Step 2: Calculate the total area needed:
Next, your friend needs to calculate the total area of cake needed for 75 people. Multiply the area per serving (4 square inches) by the number of people (75). In this case, the total area needed would be 300 square inches.
Step 3: Consider the size of available cakes:
Your friend needs to find out the size of the cakes that are available for ordering. Let's say they find out that the available cake sizes are either 9 inches by 9 inches or 12 inches by 12 inches.
Step 4: Determine the number of cakes needed:
Divide the total area needed (300 square inches) by the area of each available cake size. If the available cake size is 9 inches by 9 inches, the area of each cake would be 81 square inches. Divide 300 by 81 to get approximately 3.7. This means that your friend would need to order 4 cakes to have enough cake for all 75 people.
If the available cake size is 12 inches by 12 inches, the area of each cake would be 144 square inches. Divide 300 by 144 to get approximately 2.1. In this case, your friend would need to order 3 cakes, but there would be some leftover cake.
Keep in mind that these calculations are based on the assumption that each person will have one serving of cake. If your friend allows for multiple servings per person or wants to have extra cake, they may need to adjust the number of cakes accordingly.